Finding the Third Proportional to 40,205.35 and 85,754.32

Step by Step Solution

1. Step 1: Write the proportion equation
   40,205.35 : 85,754.32 = 85,754.32 : x
2. Step 2: Convert to fraction form
   40,205.35/85,754.32 = 85,754.32/x
3. Step 3: Cross multiply
   40,205.35x = 85,754.32 × 85,754.32
4. Step 4: Simplify right side
   40,205.35x = 7,353,803,452.26
5. Step 5: Solve for x
   x = 7,353,803,452.26/40,205.35
6. Step 6: Final answer
   x = 182,906.11